23130020013100 has 576 divisors, whose sum is σ = 68782357647360. Its totient is φ = 6518504678400.

The previous prime is 23130020013091. The next prime is 23130020013109. The reversal of 23130020013100 is 131002003132.

It is an interprime number because it is at equal distance from previous prime (23130020013091) and next prime (23130020013109).

It is a super-2 number, since 2×23130020013100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23130020013109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1200489667 + ... + 1200508933.

It is an arithmetic number, because the mean of its divisors is an integer number (119413815360).

Almost surely, 2^{23130020013100} is an apocalyptic number.

23130020013100 is a gapful number since it is divisible by the number (20) 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 23130020013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34391178823680).

23130020013100 is an abundant number, since it is smaller than the sum of its proper divisors (45652337634260).

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

23130020013100 is a wasteful number, since it uses less digits than its factorization.

23130020013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19558 (or 19551 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23130020013100 its reverse (131002003132), we get a palindrome (23261022016232).

The spelling of 23130020013100 in words is "twenty-three trillion, one hundred thirty billion, twenty million, thirteen thousand, one hundred".