1042112101131 has 48 divisors (see below), whose sum is σ = 1574002029600. Its totient is φ = 663544756224.

The previous prime is 1042112101123. The next prime is 1042112101139. The reversal of 1042112101131 is 1311012112401.

1042112101131 is a `hidden beast` number, since 1 + 0 + 421 + 1 + 210 + 1 + 1 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (1042112101123) and next prime (1042112101139).

It is not a de Polignac number, because 1042112101131 - 2³ = 1042112101123 is a prime.

It is a super-2 number, since 2×1042112101131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1042112101139) 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, 58448040 + ... + 58465866.

It is an arithmetic number, because the mean of its divisors is an integer number (32791708950).

Almost surely, 2^{1042112101131} is an apocalyptic number.

1042112101131 is a deficient number, since it is larger than the sum of its proper divisors (531889928469).

1042112101131 is a wasteful number, since it uses less digits than its factorization.

1042112101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20268 (or 20265 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1042112101131 its reverse (1311012112401), we get a palindrome (2353124213532).

The spelling of 1042112101131 in words is "one trillion, forty-two billion, one hundred twelve million, one hundred one thousand, one hundred thirty-one".