100013120131012 has 48 divisors (see below), whose sum is σ = 201559187592000. Its totient is φ = 42944447064960.

The previous prime is 100013120130997. The next prime is 100013120131027. The reversal of 100013120131012 is 210131021310001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100013120130997) and next prime (100013120131027).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171102103 + ... + 171685630.

It is an arithmetic number, because the mean of its divisors is an integer number (4199149741500).

Almost surely, 2^{100013120131012} is an apocalyptic number.

It is an amenable number.

100013120131012 is an abundant number, since it is smaller than the sum of its proper divisors (101546067460988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100013120131012 is a wasteful number, since it uses less digits than its factorization.

100013120131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342788116 (or 342788114 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100013120131012 its reverse (210131021310001), we get a palindrome (310144141441013).

The spelling of 100013120131012 in words is "one hundred trillion, thirteen billion, one hundred twenty million, one hundred thirty-one thousand, twelve".