10031311320120 has 384 divisors, whose sum is σ = 34560725621760. Its totient is φ = 2518289326080.

The previous prime is 10031311320089. The next prime is 10031311320137. The reversal of 10031311320120 is 2102311313001.

10031311320120 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 311 + 320 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10031311320093 and 10031311320102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138976840 + ... + 139049000.

It is an arithmetic number, because the mean of its divisors is an integer number (90001889640).

Almost surely, 2^{10031311320120} is an apocalyptic number.

10031311320120 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 10031311320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280362810880).

10031311320120 is an abundant number, since it is smaller than the sum of its proper divisors (24529414301640).

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

10031311320120 is a wasteful number, since it uses less digits than its factorization.

10031311320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72467 (or 72460 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10031311320120 its reverse (2102311313001), we get a palindrome (12133622633121).

The spelling of 10031311320120 in words is "ten trillion, thirty-one billion, three hundred eleven million, three hundred twenty thousand, one hundred twenty".