1102313133131 has 16 divisors (see below), whose sum is σ = 1268985528000. Its totient is φ = 937947954048.

The previous prime is 1102313133079. The next prime is 1102313133133. The reversal of 1102313133131 is 1313313132011.

It is not a de Polignac number, because 1102313133131 - 2²⁶ = 1102246024267 is a prime.

It is a super-2 number, since 2×1102313133131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1102313133097 and 1102313133106.

It is not an unprimeable number, because it can be changed into a prime (1102313133133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1473281 + ... + 2091693.

It is an arithmetic number, because the mean of its divisors is an integer number (79311595500).

Almost surely, 2^{1102313133131} is an apocalyptic number.

1102313133131 is a deficient number, since it is larger than the sum of its proper divisors (166672394869).

1102313133131 is a wasteful number, since it uses less digits than its factorization.

1102313133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620278.

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

Adding to 1102313133131 its reverse (1313313132011), we get a palindrome (2415626265142).

The spelling of 1102313133131 in words is "one trillion, one hundred two billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred thirty-one".