31413310111001 has 12 divisors (see below), whose sum is σ = 39352937942052. Its totient is φ = 24854487120288.

The previous prime is 31413310110983. The next prime is 31413310111003. The reversal of 31413310111001 is 10011101331413.

It can be written as a sum of positive squares in 2 ways, for example, as 6046484281600 + 25366825829401 = 2458960^2 + 5036549^2 .

It is not a de Polignac number, because 31413310111001 - 2²⁶ = 31413243002137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31413310111003) 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, 24657228650 + ... + 24657229923.

It is an arithmetic number, because the mean of its divisors is an integer number (3279411495171).

Almost surely, 2^{31413310111001} is an apocalyptic number.

It is an amenable number.

31413310111001 is a deficient number, since it is larger than the sum of its proper divisors (7939627831051).

31413310111001 is a wasteful number, since it uses less digits than its factorization.

31413310111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49314458600 (or 49314458593 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 31413310111001 its reverse (10011101331413), we get a palindrome (41424411442414).

The spelling of 31413310111001 in words is "thirty-one trillion, four hundred thirteen billion, three hundred ten million, one hundred eleven thousand, one".