1312131133000 has 32 divisors (see below), whose sum is σ = 3070386853560. Its totient is φ = 524852452800.

The previous prime is 1312131132967. The next prime is 1312131133073. The reversal of 1312131133000 is 3311312131.

It can be written as a sum of positive squares in 4 ways, for example, as 136324885284 + 1175806247716 = 369222^2 + 1084346^2 .

It is a super-2 number, since 2×1312131133000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656064567 + ... + 656066566.

Almost surely, 2^{1312131133000} is an apocalyptic number.

1312131133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312131133000 is an abundant number, since it is smaller than the sum of its proper divisors (1758255720560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312131133000 is a wasteful number, since it uses less digits than its factorization.

1312131133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312131154 (or 1312131140 counting only the distinct ones).

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

Adding to 1312131133000 its reverse (3311312131), we get a palindrome (1315442445131).

The spelling of 1312131133000 in words is "one trillion, three hundred twelve billion, one hundred thirty-one million, one hundred thirty-three thousand".