10131314313120 has 768 divisors, whose sum is σ = 44007243743232. Its totient is φ = 1890744975360.

The previous prime is 10131314313059. The next prime is 10131314313137. The reversal of 10131314313120 is 2131341313101.

It is a super-2 number, since 2×10131314313120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17492817 + ... + 18062703.

It is an arithmetic number, because the mean of its divisors is an integer number (57301098624).

Almost surely, 2^{10131314313120} is an apocalyptic number.

10131314313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131314313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22003621871616).

10131314313120 is an abundant number, since it is smaller than the sum of its proper divisors (33875929430112).

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

10131314313120 is a wasteful number, since it uses less digits than its factorization.

10131314313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569973 (or 569965 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 10131314313120 its reverse (2131341313101), we get a palindrome (12262655626221).

The spelling of 10131314313120 in words is "ten trillion, one hundred thirty-one billion, three hundred fourteen million, three hundred thirteen thousand, one hundred twenty".