100101001310 has 16 divisors (see below), whose sum is σ = 180252314496. Its totient is φ = 40024731168.

The previous prime is 100101001277. The next prime is 100101001361. The reversal of 100101001310 is 13100101001.

It is a super-2 number, since 2×100101001310² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1931822 + ... + 1982961.

It is an arithmetic number, because the mean of its divisors is an integer number (11265769656).

Almost surely, 2^100101001310 is an apocalyptic number.

100101001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101001310 is a deficient number, since it is larger than the sum of its proper divisors (80151313186).

100101001310 is a wasteful number, since it uses less digits than its factorization.

100101001310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917347.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100101001310 its reverse (13100101001), we get a palindrome (113201102311).

The spelling of 100101001310 in words is "one hundred billion, one hundred one million, one thousand, three hundred ten".