31413422431413 has 48 divisors (see below), whose sum is σ = 49697391272256. Its totient is φ = 18962569048320.

The previous prime is 31413422431411. The next prime is 31413422431439.

31413422431413 is a `hidden beast` number, since 3 + 1 + 4 + 13 + 4 + 224 + 3 + 1 + 413 = 666.

31413422431413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31413422431413 - 2¹ = 31413422431411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31413422431411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50365281 + ... + 50985177.

It is an arithmetic number, because the mean of its divisors is an integer number (1035362318172).

Almost surely, 2^{31413422431413} is an apocalyptic number.

31413422431413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31413422431413 is a deficient number, since it is larger than the sum of its proper divisors (18283968840843).

31413422431413 is a wasteful number, since it uses less digits than its factorization.

31413422431413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621954 (or 621951 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3141342 and 2431413, that added together give a palindrome (5572755).

The spelling of 31413422431413 in words is "thirty-one trillion, four hundred thirteen billion, four hundred twenty-two million, four hundred thirty-one thousand, four hundred thirteen".