31000133100 has 72 divisors (see below), whose sum is σ = 91602137088. Its totient is φ = 8090811200.

The previous prime is 31000133077. The next prime is 31000133123. The reversal of 31000133100 is 133100013.

It is an interprime number because it is at equal distance from previous prime (31000133077) and next prime (31000133123).

It is a super-2 number, since 2×31000133100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1085196 + ... + 1113395.

It is an arithmetic number, because the mean of its divisors is an integer number (1272251904).

Almost surely, 2^31000133100 is an apocalyptic number.

31000133100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31000133100 is an abundant number, since it is smaller than the sum of its proper divisors (60602003988).

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

31000133100 is a wasteful number, since it uses less digits than its factorization.

31000133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198655 (or 2198648 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 31000133100 its reverse (133100013), we get a palindrome (31133233113).

The spelling of 31000133100 in words is "thirty-one billion, one hundred thirty-three thousand, one hundred".