31004413101 has 12 divisors (see below), whose sum is σ = 44788683420. Its totient is φ = 20667517440.

The previous prime is 31004413073. The next prime is 31004413133. The reversal of 31004413101 is 10131440013.

31004413101 is a `hidden beast` number, since 310 + 0 + 4 + 41 + 310 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23993700201 + 7010712900 = 154899^2 + 83730^2 .

It is not a de Polignac number, because 31004413101 - 2³³ = 22414478509 is a prime.

It is a super-2 number, since 2×31004413101² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31004413151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77556 + ... + 260813.

It is an arithmetic number, because the mean of its divisors is an integer number (3732390285).

Almost surely, 2^31004413101 is an apocalyptic number.

It is an amenable number.

31004413101 is a deficient number, since it is larger than the sum of its proper divisors (13784270319).

31004413101 is a wasteful number, since it uses less digits than its factorization.

31004413101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348556 (or 348553 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31004413101 its reverse (10131440013), we get a palindrome (41135853114).

The spelling of 31004413101 in words is "thirty-one billion, four million, four hundred thirteen thousand, one hundred one".