100330101311 has 12 divisors (see below), whose sum is σ = 113837623872. Its totient is φ = 88266948000.

The previous prime is 100330101257. The next prime is 100330101317. The reversal of 100330101311 is 113101033001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100330101311 is a prime.

It is a super-2 number, since 2×100330101311² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330101317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13370030 + ... + 13377531.

It is an arithmetic number, because the mean of its divisors is an integer number (9486468656).

Almost surely, 2^100330101311 is an apocalyptic number.

100330101311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100330101311 is a deficient number, since it is larger than the sum of its proper divisors (13507522561).

100330101311 is a wasteful number, since it uses less digits than its factorization.

100330101311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26747614 (or 26747603 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100330101311 its reverse (113101033001), we get a palindrome (213431134312).

The spelling of 100330101311 in words is "one hundred billion, three hundred thirty million, one hundred one thousand, three hundred eleven".