10100013311 has 8 divisors (see below), whose sum is σ = 10427328000. Its totient is φ = 9772792920.

The previous prime is 10100013283. The next prime is 10100013323. The reversal of 10100013311 is 11331000101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10100013311 - 2²² = 10095819007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100013292 and 10100013301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100018311) by changing a digit.

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, 241640 + ... + 280338.

It is an arithmetic number, because the mean of its divisors is an integer number (1303416000).

Almost surely, 2^10100013311 is an apocalyptic number.

10100013311 is a deficient number, since it is larger than the sum of its proper divisors (327314689).

10100013311 is an equidigital number, since it uses as much as digits as its factorization.

10100013311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47149.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10100013311 its reverse (11331000101), we get a palindrome (21431013412).

The spelling of 10100013311 in words is "ten billion, one hundred million, thirteen thousand, three hundred eleven".