1310222220131 has 48 divisors (see below), whose sum is σ = 1471074696000. Its totient is φ = 1165870970880.

The previous prime is 1310222220079. The next prime is 1310222220173.

1310222220131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1310222220131 - 2²² = 1310218025827 is a prime.

It is a super-2 number, since 2×1310222220131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310222210131) 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, 540742586 + ... + 540745008.

It is an arithmetic number, because the mean of its divisors is an integer number (30647389500).

Almost surely, 2^{1310222220131} is an apocalyptic number.

1310222220131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1310222220131 is a deficient number, since it is larger than the sum of its proper divisors (160852475869).

1310222220131 is a wasteful number, since it uses less digits than its factorization.

1310222220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 1310222220131 in words is "one trillion, three hundred ten billion, two hundred twenty-two million, two hundred twenty thousand, one hundred thirty-one".