10023113310000 has 800 divisors, whose sum is σ = 38299573813248. Its totient is φ = 2210517120000.

The previous prime is 10023113309983. The next prime is 10023113310053. The reversal of 10023113310000 is 1331132001.

10023113310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10023113310000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 700762849 + ... + 700777151.

Almost surely, 2^{10023113310000} is an apocalyptic number.

10023113310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023113310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19149786906624).

10023113310000 is an abundant number, since it is smaller than the sum of its proper divisors (28276460503248).

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

10023113310000 is a wasteful number, since it uses less digits than its factorization.

10023113310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14459 (or 14438 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10023113310000 its reverse (1331132001), we get a palindrome (10024444442001).

The spelling of 10023113310000 in words is "ten trillion, twenty-three billion, one hundred thirteen million, three hundred ten thousand".