31331113011461 has 12 divisors (see below), whose sum is σ = 33305438339652. Its totient is φ = 29467811332608.

The previous prime is 31331113011437. The next prime is 31331113011469. The reversal of 31331113011461 is 16411031113313.

It can be written as a sum of positive squares in 6 ways, for example, as 2777158923361 + 28553954088100 = 1666481^2 + 5343590^2 .

It is not a de Polignac number, because 31331113011461 - 2²² = 31331108817157 is a prime.

It is a super-4 number, since 4×31331113011461⁴ (a number of 55 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331113011469) 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, 36886400 + ... + 37726233.

It is an arithmetic number, because the mean of its divisors is an integer number (2775453194971).

Almost surely, 2^{31331113011461} is an apocalyptic number.

It is an amenable number.

31331113011461 is a deficient number, since it is larger than the sum of its proper divisors (1974325328191).

31331113011461 is a wasteful number, since it uses less digits than its factorization.

31331113011461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74614120 (or 74614103 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

Adding to 31331113011461 its reverse (16411031113313), we get a palindrome (47742144124774).

The spelling of 31331113011461 in words is "thirty-one trillion, three hundred thirty-one billion, one hundred thirteen million, eleven thousand, four hundred sixty-one".