31012321131000 has 384 divisors, whose sum is σ = 114678666648000. Its totient is φ = 7496588160000.

The previous prime is 31012321130981. The next prime is 31012321131019. The reversal of 31012321131000 is 13112321013.

31012321131000 is a `hidden beast` number, since 31 + 0 + 1 + 2 + 321 + 1 + 310 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31012321130981) and next prime (31012321131019).

It is a super-2 number, since 2×31012321131000² (a number of 28 digits) contains 22 as substring.

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

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, 34102210 + ... + 34999790.

Almost surely, 2^{31012321131000} is an apocalyptic number.

31012321131000 is a gapful number since it is divisible by the number (30) 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 31012321131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57339333324000).

31012321131000 is an abundant number, since it is smaller than the sum of its proper divisors (83666345517000).

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

31012321131000 is a wasteful number, since it uses less digits than its factorization.

31012321131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897968 (or 897951 counting only the distinct ones).

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

Adding to 31012321131000 its reverse (13112321013), we get a palindrome (31025433452013).

The spelling of 31012321131000 in words is "thirty-one trillion, twelve billion, three hundred twenty-one million, one hundred thirty-one thousand".