100313140243311 has 32 divisors (see below), whose sum is σ = 148719922560000. Its totient is φ = 66826893792960.

The previous prime is 100313140243301. The next prime is 100313140243367. The reversal of 100313140243311 is 113342041313001.

100313140243311 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 314 + 0 + 2 + 4 + 3 + 311 = 666.

It is not a de Polignac number, because 100313140243311 - 2³⁰ = 100312066501487 is a prime.

It is a super-2 number, since 2×100313140243311² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313140243301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798348051 + ... + 798473691.

It is an arithmetic number, because the mean of its divisors is an integer number (4647497580000).

Almost surely, 2^{100313140243311} is an apocalyptic number.

100313140243311 is a deficient number, since it is larger than the sum of its proper divisors (48406782316689).

100313140243311 is a wasteful number, since it uses less digits than its factorization.

100313140243311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146876 (or 146870 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 100313140243311 its reverse (113342041313001), we get a palindrome (213655181556312).

The spelling of 100313140243311 in words is "one hundred trillion, three hundred thirteen billion, one hundred forty million, two hundred forty-three thousand, three hundred eleven".