31300431131000 has 96 divisors (see below), whose sum is σ = 74181886112880. Its totient is φ = 12361686792000.

The previous prime is 31300431130987. The next prime is 31300431131033. The reversal of 31300431131000 is 13113400313.

It is a super-2 number, since 2×31300431131000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3733355 + ... + 8748645.

Almost surely, 2^{31300431131000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300431131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37090943056440).

31300431131000 is an abundant number, since it is smaller than the sum of its proper divisors (42881454981880).

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

31300431131000 is an equidigital number, since it uses as much as digits as its factorization.

31300431131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015470 (or 5015377 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31300431131000 its reverse (13113400313), we get a palindrome (31313544531313).

The spelling of 31300431131000 in words is "thirty-one trillion, three hundred billion, four hundred thirty-one million, one hundred thirty-one thousand".