31320132000 has 192 divisors, whose sum is σ = 108005788800. Its totient is φ = 7912396800.

The previous prime is 31320131971. The next prime is 31320132029. The reversal of 31320132000 is 23102313.

It is an interprime number because it is at equal distance from previous prime (31320131971) and next prime (31320132029).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 159316 + ... + 296684.

It is an arithmetic number, because the mean of its divisors is an integer number (562530150).

Almost surely, 2^31320132000 is an apocalyptic number.

31320132000 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 31320132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54002894400).

31320132000 is an abundant number, since it is smaller than the sum of its proper divisors (76685656800).

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

31320132000 is a wasteful number, since it uses less digits than its factorization.

31320132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137416 (or 137398 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31320132000 its reverse (23102313), we get a palindrome (31343234313).

The spelling of 31320132000 in words is "thirty-one billion, three hundred twenty million, one hundred thirty-two thousand".