31351320000 has 2240 divisors, whose sum is σ = 159968793600. Its totient is φ = 5806080000.

The previous prime is 31351319999. The next prime is 31351320137. The reversal of 31351320000 is 2315313.

It is a tau number, because it is divible by the number of its divisors (2240).

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 319 ways as a sum of consecutive naturals, for example, 1081079986 + ... + 1081080014.

It is an arithmetic number, because the mean of its divisors is an integer number (71414640).

Almost surely, 2^31351320000 is an apocalyptic number.

31351320000 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 31351320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79984396800).

31351320000 is an abundant number, since it is smaller than the sum of its proper divisors (128617473600).

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

31351320000 is a wasteful number, since it uses less digits than its factorization.

31351320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 31351320000 its reverse (2315313), we get a palindrome (31353635313).

The spelling of 31351320000 in words is "thirty-one billion, three hundred fifty-one million, three hundred twenty thousand".