1130012100311 has 8 divisors (see below), whose sum is σ = 1190096140800. Its totient is φ = 1069989031800.

The previous prime is 1130012100253. The next prime is 1130012100359.

It is a happy number.

1130012100311 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 1130012100311 - 2⁶ = 1130012100247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130012100361) 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, 15204941 + ... + 15279078.

It is an arithmetic number, because the mean of its divisors is an integer number (148762017600).

Almost surely, 2^{1130012100311} is an apocalyptic number.

1130012100311 is a deficient number, since it is larger than the sum of its proper divisors (60084040489).

1130012100311 is a wasteful number, since it uses less digits than its factorization.

1130012100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30485989.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 1130012100311 in words is "one trillion, one hundred thirty billion, twelve million, one hundred thousand, three hundred eleven".