1313122213131 has 16 divisors (see below), whose sum is σ = 1775953928448. Its totient is φ = 862929020000.

The previous prime is 1313122213121. The next prime is 1313122213187.

1313122213131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1313122213131 - 2⁵ = 1313122213099 is a prime.

It is a super-3 number, since 3×1313122213131³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1313122213121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9476895 + ... + 9614456.

It is an arithmetic number, because the mean of its divisors is an integer number (110997120528).

Almost surely, 2^{1313122213131} is an apocalyptic number.

1313122213131 is a deficient number, since it is larger than the sum of its proper divisors (462831715317).

1313122213131 is a wasteful number, since it uses less digits than its factorization.

1313122213131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19091682.

The product of its digits is 648, while the sum is 24.

The spelling of 1313122213131 in words is "one trillion, three hundred thirteen billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred thirty-one".