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13131040021121 = 1123431289936391
BaseRepresentation
bin1011111100010100111011…
…1110011101101010000001
31201111022111202102022200002
42333011032332131222001
53210114332221133441
643532152211005345
72523454261403321
oct277051676355201
951438452368602
1013131040021121
11420292a848110
121580a72899855
13743337170459
1433578d699281
1517b87d984b9b
hexbf14ef9da81

13131040021121 has 32 divisors (see below), whose sum is σ = 15307087656960. Its totient is φ = 11144089756800.

The previous prime is 13131040021103. The next prime is 13131040021133. The reversal of 13131040021121 is 12112004013131.

It is not a de Polignac number, because 13131040021121 - 222 = 13131035826817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13131040021093 and 13131040021102.

It is not an unprimeable number, because it can be changed into a prime (13131040021321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13554836 + ... + 14491226.

It is an arithmetic number, because the mean of its divisors is an integer number (478346489280).

Almost surely, 213131040021121 is an apocalyptic number.

13131040021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13131040021121 is a deficient number, since it is larger than the sum of its proper divisors (2176047635839).

13131040021121 is a wasteful number, since it uses less digits than its factorization.

13131040021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937757.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 13131040021121 its reverse (12112004013131), we get a palindrome (25243044034252).

The spelling of 13131040021121 in words is "thirteen trillion, one hundred thirty-one billion, forty million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 23 43 253 473 989 1289 10879 14179 29647 55427 326117 609697 936391 1274821 10300301 14023031 21536993 40264813 236906923 442912943 926090699 1207007999 10186997689 13277087989 27761183977 51901343957 305373023747 570914783527 1193730911011 13131040021121