10023313011000 has 128 divisors (see below), whose sum is σ = 31298444573760. Its totient is φ = 2670686208000.

The previous prime is 10023313010947. The next prime is 10023313011001. The reversal of 10023313011000 is 11031332001.

It is a super-2 number, since 2×10023313011000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023313011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2278320 + ... + 5023680.

Almost surely, 2^{10023313011000} is an apocalyptic number.

10023313011000 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 10023313011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649222286880).

10023313011000 is an abundant number, since it is smaller than the sum of its proper divisors (21275131562760).

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

10023313011000 is a wasteful number, since it uses less digits than its factorization.

10023313011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746602 (or 2746588 counting only the distinct ones).

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

Adding to 10023313011000 its reverse (11031332001), we get a palindrome (10034344343001).

The spelling of 10023313011000 in words is "ten trillion, twenty-three billion, three hundred thirteen million, eleven thousand".