31445100200125 has 16 divisors (see below), whose sum is σ = 39244089581424. Its totient is φ = 25155692640000.

The previous prime is 31445100200047. The next prime is 31445100200147. The reversal of 31445100200125 is 52100200154413.

It can be written as a sum of positive squares in 8 ways, for example, as 22080845348676 + 9364254851449 = 4699026^2 + 3060107^2 .

It is not a de Polignac number, because 31445100200125 - 2³¹ = 31442952716477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31445100200093 and 31445100200102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6350545 + ... + 10159705.

It is an arithmetic number, because the mean of its divisors is an integer number (2452755598839).

Almost surely, 2^{31445100200125} is an apocalyptic number.

It is an amenable number.

31445100200125 is a deficient number, since it is larger than the sum of its proper divisors (7798989381299).

31445100200125 is an equidigital number, since it uses as much as digits as its factorization.

31445100200125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875217 (or 3875207 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 31445100200125 its reverse (52100200154413), we get a palindrome (83545300354538).

The spelling of 31445100200125 in words is "thirty-one trillion, four hundred forty-five billion, one hundred million, two hundred thousand, one hundred twenty-five".