31311321303120 has 160 divisors (see below), whose sum is σ = 98541383185920. Its totient is φ = 8223225753600.

The previous prime is 31311321303083. The next prime is 31311321303167. The reversal of 31311321303120 is 2130312311313.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5447220 + ... + 9607020.

It is an arithmetic number, because the mean of its divisors is an integer number (615883644912).

Almost surely, 2^{31311321303120} is an apocalyptic number.

31311321303120 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 31311321303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49270691592960).

31311321303120 is an abundant number, since it is smaller than the sum of its proper divisors (67230061882800).

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

31311321303120 is a wasteful number, since it uses less digits than its factorization.

31311321303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160293 (or 4160287 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 31311321303120 its reverse (2130312311313), we get a palindrome (33441633614433).

The spelling of 31311321303120 in words is "thirty-one trillion, three hundred eleven billion, three hundred twenty-one million, three hundred three thousand, one hundred twenty".