1313121122031 has 64 divisors (see below), whose sum is σ = 2003233213440. Its totient is φ = 760548771840.

The previous prime is 1313121122011. The next prime is 1313121122041. The reversal of 1313121122031 is 1302211213131.

It is not a de Polignac number, because 1313121122031 - 2⁶ = 1313121121967 is a prime.

It is a super-2 number, since 2×1313121122031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313121121989 and 1313121122007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313121122011) 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, 3619180 + ... + 3965438.

It is an arithmetic number, because the mean of its divisors is an integer number (31300518960).

Almost surely, 2^{1313121122031} is an apocalyptic number.

1313121122031 is a deficient number, since it is larger than the sum of its proper divisors (690112091409).

1313121122031 is a wasteful number, since it uses less digits than its factorization.

1313121122031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346416.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1313121122031 its reverse (1302211213131), we get a palindrome (2615332335162).

The spelling of 1313121122031 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, one hundred twenty-two thousand, thirty-one".