10111013310 has 128 divisors (see below), whose sum is σ = 25339628160. Its totient is φ = 2579890176.

The previous prime is 10111013293. The next prime is 10111013323. The reversal of 10111013310 is 1331011101.

It is a super-2 number, since 2×10111013310² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 23350854 + ... + 23351286.

It is an arithmetic number, because the mean of its divisors is an integer number (197965845).

Almost surely, 2^10111013310 is an apocalyptic number.

10111013310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111013310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669814080).

10111013310 is an abundant number, since it is smaller than the sum of its proper divisors (15228614850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10111013310 is a wasteful number, since it uses less digits than its factorization.

10111013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10111013310 its reverse (1331011101), we get a palindrome (11442024411).

The spelling of 10111013310 in words is "ten billion, one hundred eleven million, thirteen thousand, three hundred ten".