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131012310331 = 722683399643
BaseRepresentation
bin111101000000011110…
…0010011010100111011
3110112011110202221100001
41322000330103110323
54121303122412311
6140104120253431
712315415156300
oct1720074232473
9415143687301
10131012310331
1150620040941
1221483911277
13c47b832026
1464abadd0a7
15361bb774c1
hex1e80f1353b

131012310331 has 12 divisors (see below), whose sum is σ = 152409284472. Its totient is φ = 112290954048.

The previous prime is 131012310281. The next prime is 131012310353. The reversal of 131012310331 is 133013210131.

It is a de Polignac number, because none of the positive numbers 2k-131012310331 is a prime.

It is a super-2 number, since 2×1310123103312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131012310299 and 131012310308.

It is not an unprimeable number, because it can be changed into a prime (131012310031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1264996 + ... + 1364638.

It is an arithmetic number, because the mean of its divisors is an integer number (12700773706).

Almost surely, 2131012310331 is an apocalyptic number.

131012310331 is a deficient number, since it is larger than the sum of its proper divisors (21396974141).

131012310331 is an equidigital number, since it uses as much as digits as its factorization.

131012310331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126490 (or 126483 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131012310331 its reverse (133013210131), we get a palindrome (264025520462).

The spelling of 131012310331 in words is "one hundred thirty-one billion, twelve million, three hundred ten thousand, three hundred thirty-one".

Divisors: 1 7 49 26833 99643 187831 697501 1314817 4882507 2673720619 18716044333 131012310331