1231313131301 has 48 divisors (see below), whose sum is σ = 1431770323200. Its totient is φ = 1055181790080.

The previous prime is 1231313131219. The next prime is 1231313131303. The reversal of 1231313131301 is 1031313131321.

It is not a de Polignac number, because 1231313131301 - 2¹⁰ = 1231313130277 is a prime.

It is a super-2 number, since 2×1231313131301² (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 (1231313131303) 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, 516705956 + ... + 516708338.

It is an arithmetic number, because the mean of its divisors is an integer number (29828548400).

Almost surely, 2^{1231313131301} is an apocalyptic number.

1231313131301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1231313131301 is a deficient number, since it is larger than the sum of its proper divisors (200457191899).

1231313131301 is a wasteful number, since it uses less digits than its factorization.

1231313131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1231313131301 its reverse (1031313131321), we get a palindrome (2262626262622).

It can be divided in two parts, 12 and 31313131301, that added together give a palindrome (31313131313).

The spelling of 1231313131301 in words is "one trillion, two hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred one".