31142752101 has 40 divisors (see below), whose sum is σ = 46727175000. Its totient is φ = 20670474240.

The previous prime is 31142752099. The next prime is 31142752133. The reversal of 31142752101 is 10125724113.

31142752101 is a `hidden beast` number, since 3 + 114 + 27 + 521 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 386712225 + 30756039876 = 19665^2 + 175374^2 .

It is not a de Polignac number, because 31142752101 - 2¹ = 31142752099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31142752171) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24933525 + ... + 24934773.

It is an arithmetic number, because the mean of its divisors is an integer number (1168179375).

Almost surely, 2^31142752101 is an apocalyptic number.

It is an amenable number.

31142752101 is a deficient number, since it is larger than the sum of its proper divisors (15584422899).

31142752101 is a wasteful number, since it uses less digits than its factorization.

31142752101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 31142752101 in words is "thirty-one billion, one hundred forty-two million, seven hundred fifty-two thousand, one hundred one".