31013121101193 has 128 divisors (see below), whose sum is σ = 57712803840000. Its totient is φ = 15989870603520.

The previous prime is 31013121101177. The next prime is 31013121101213. The reversal of 31013121101193 is 39110112131013.

31013121101193 is a `hidden beast` number, since 310 + 131 + 21 + 10 + 1 + 193 = 666.

It is not a de Polignac number, because 31013121101193 - 2⁴ = 31013121101177 is a prime.

It is a super-3 number, since 3×31013121101193³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31013121101693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 396157971 + ... + 396236247.

It is an arithmetic number, because the mean of its divisors is an integer number (450881280000).

Almost surely, 2^{31013121101193} is an apocalyptic number.

31013121101193 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31013121101193 is a deficient number, since it is larger than the sum of its proper divisors (26699682738807).

31013121101193 is a wasteful number, since it uses less digits than its factorization.

31013121101193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79732 (or 79726 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 31013121101193 in words is "thirty-one trillion, thirteen billion, one hundred twenty-one million, one hundred one thousand, one hundred ninety-three".