31000133313000 has 384 divisors, whose sum is σ = 106098262732800. Its totient is φ = 8163167040000.

The previous prime is 31000133312987. The next prime is 31000133313043. The reversal of 31000133313000 is 31333100013.

31000133313000 is a `hidden beast` number, since 31 + 0 + 0 + 0 + 1 + 3 + 331 + 300 + 0 = 666.

It is a super-2 number, since 2×31000133313000² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344466009 + ... + 344555991.

It is an arithmetic number, because the mean of its divisors is an integer number (276297559200).

Almost surely, 2^{31000133313000} is an apocalyptic number.

31000133313000 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 31000133313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53049131366400).

31000133313000 is an abundant number, since it is smaller than the sum of its proper divisors (75098129419800).

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

31000133313000 is a wasteful number, since it uses less digits than its factorization.

31000133313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90490 (or 90473 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 31000133313000 its reverse (31333100013), we get a palindrome (31031466413013).

The spelling of 31000133313000 in words is "thirty-one trillion, one hundred thirty-three million, three hundred thirteen thousand".