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131313232212001 = 7297113782181001
BaseRepresentation
bin11101110110110110111110…
…100011110111000000100001
3122012221102101221002202102221
4131312312332203313000201
5114202413444421241001
61143140244401511041
736442032210265540
oct3566667643670041
9565842357082387
10131313232212001
11389276a1289114
1212889473942481
135836a27ba6368
14245d846c7c157
15102ab59ede1a1
hex776dbe8f7021

131313232212001 has 64 divisors (see below), whose sum is σ = 158778020828160. Its totient is φ = 106229491200000.

The previous prime is 131313232211933. The next prime is 131313232212049. The reversal of 131313232212001 is 100212232313131.

It is not a de Polignac number, because 131313232212001 - 29 = 131313232211489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131313232212301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1621090501 + ... + 1621171501.

It is an arithmetic number, because the mean of its divisors is an integer number (2480906575440).

Almost surely, 2131313232212001 is an apocalyptic number.

It is an amenable number.

131313232212001 is a deficient number, since it is larger than the sum of its proper divisors (27464788616159).

131313232212001 is a wasteful number, since it uses less digits than its factorization.

131313232212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82066.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 131313232212001 its reverse (100212232313131), we get a palindrome (231525464525132).

The spelling of 131313232212001 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred thirty-two million, two hundred twelve thousand, one".

Divisors: 1 7 29 71 137 203 497 821 959 2059 3973 5747 9727 14413 23809 27811 58291 68089 81001 112477 166663 282083 408037 567007 787339 1690439 1974581 2349029 3261833 5751071 7985867 11097137 11833073 16443203 22832831 40257497 55901069 66501821 77679959 166781059 231590143 321816973 465512747 787896727 1167467413 1621131001 1928552809 2252718811 4721629291 5515277089 9110749477 13499869663 22849005083 33051405037 63775246339 136927249439 159943035581 264211734833 646863212867 958490746073 1849482143831 4528042490069 18759033173143 131313232212001