1010113331131 has 8 divisors (see below), whose sum is σ = 1073311031664. Its totient is φ = 947335549440.

The previous prime is 1010113331113. The next prime is 1010113331173. The reversal of 1010113331131 is 1311333110101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010113331131 - 2⁵ = 1010113331099 is a prime.

It is a super-2 number, since 2×1010113331131² (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 = 1010113331099 and 1010113331108.

It is not an unprimeable number, because it can be changed into a prime (1010113332131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104974750 + ... + 104984371.

It is an arithmetic number, because the mean of its divisors is an integer number (134163878958).

Almost surely, 2^{1010113331131} is an apocalyptic number.

1010113331131 is a deficient number, since it is larger than the sum of its proper divisors (63197700533).

1010113331131 is a wasteful number, since it uses less digits than its factorization.

1010113331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209959421.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 1010113331131 its reverse (1311333110101), we get a palindrome (2321446441232).

The spelling of 1010113331131 in words is "one trillion, ten billion, one hundred thirteen million, three hundred thirty-one thousand, one hundred thirty-one".