2013331513431 has 64 divisors (see below), whose sum is σ = 3116234833920. Its totient is φ = 1132529990400.

The previous prime is 2013331513373. The next prime is 2013331513441. The reversal of 2013331513431 is 1343151333102.

It is a happy number.

It is not a de Polignac number, because 2013331513431 - 2¹⁰ = 2013331512407 is a prime.

It is a super-2 number, since 2×2013331513431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013331513441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268906570 + ... + 268914056.

It is an arithmetic number, because the mean of its divisors is an integer number (48691169280).

Almost surely, 2^{2013331513431} is an apocalyptic number.

2013331513431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2013331513431 is a deficient number, since it is larger than the sum of its proper divisors (1102903320489).

2013331513431 is a wasteful number, since it uses less digits than its factorization.

2013331513431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404.

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 2013331513431 its reverse (1343151333102), we get a palindrome (3356482846533).

The spelling of 2013331513431 in words is "two trillion, thirteen billion, three hundred thirty-one million, five hundred thirteen thousand, four hundred thirty-one".