10131203121312 has 192 divisors, whose sum is σ = 33616217666304. Its totient is φ = 2599750287360.

The previous prime is 10131203121307. The next prime is 10131203121337. The reversal of 10131203121312 is 21312130213101.

It is a super-2 number, since 2×10131203121312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15348489 + ... + 15994952.

It is an arithmetic number, because the mean of its divisors is an integer number (175084467012).

Almost surely, 2^{10131203121312} is an apocalyptic number.

10131203121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131203121312 is an abundant number, since it is smaller than the sum of its proper divisors (23485014544992).

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

10131203121312 is a wasteful number, since it uses less digits than its factorization.

10131203121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31343511 (or 31343503 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10131203121312 its reverse (21312130213101), we get a palindrome (31443333334413).

The spelling of 10131203121312 in words is "ten trillion, one hundred thirty-one billion, two hundred three million, one hundred twenty-one thousand, three hundred twelve".