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131304330311401 = 1322097345708449
BaseRepresentation
bin11101110110101110101011…
…111101110011011011101001
3122012220120102112121100111201
4131312232223331303123221
5114202242232024431101
61143132213203124201
736441265465342552
oct3566565375633351
9565816375540451
10131304330311401
1138923943400475
12128877aa673661
135835c39852760
14245d2408c1329
15102a7d873de01
hex776babf736e9

131304330311401 has 8 divisors (see below), whose sum is σ = 141405306424200. Its totient is φ = 121203446057472.

The previous prime is 131304330311383. The next prime is 131304330311443. The reversal of 131304330311401 is 104113033403131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3631505733801 + 127672824577600 = 1905651^2 + 11299240^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131304330311401 - 25 = 131304330311369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131304330311401.

It is not an unprimeable number, because it can be changed into a prime (131304330315401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19981576 + ... + 25726873.

It is an arithmetic number, because the mean of its divisors is an integer number (17675663303025).

Almost surely, 2131304330311401 is an apocalyptic number.

It is an amenable number.

131304330311401 is a deficient number, since it is larger than the sum of its proper divisors (10100976112799).

131304330311401 is a wasteful number, since it uses less digits than its factorization.

131304330311401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45929435.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 131304330311401 its reverse (104113033403131), we get a palindrome (235417363714532).

The spelling of 131304330311401 in words is "one hundred thirty-one trillion, three hundred four billion, three hundred thirty million, three hundred eleven thousand, four hundred one".

Divisors: 1 13 220973 2872649 45708449 594209837 10100333100877 131304330311401