31000323132000 has 192 divisors, whose sum is σ = 112841176593600. Its totient is φ = 8266752806400.

The previous prime is 31000323131927. The next prime is 31000323132001. The reversal of 31000323132000 is 23132300013.

31000323132000 is a `hidden beast` number, since 310 + 0 + 0 + 3 + 2 + 31 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×31000323132000² (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 not an unprimeable number, because it can be changed into a prime (31000323132001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143412015 + ... + 143628014.

It is an arithmetic number, because the mean of its divisors is an integer number (587714461425).

Almost surely, 2^{31000323132000} is an apocalyptic number.

31000323132000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31000323132000 is an abundant number, since it is smaller than the sum of its proper divisors (81840853461600).

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

31000323132000 is a wasteful number, since it uses less digits than its factorization.

31000323132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287040063 (or 287040039 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31000323132000 its reverse (23132300013), we get a palindrome (31023455432013).

The spelling of 31000323132000 in words is "thirty-one trillion, three hundred twenty-three million, one hundred thirty-two thousand".