13123011112100 has 144 divisors (see below), whose sum is σ = 29679710376960. Its totient is φ = 5030841446400.

The previous prime is 13123011112097. The next prime is 13123011112103. The reversal of 13123011112100 is 121111032131.

It is an interprime number because it is at equal distance from previous prime (13123011112097) and next prime (13123011112103).

It is not an unprimeable number, because it can be changed into a prime (13123011112103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451522169 + ... + 451551231.

It is an arithmetic number, because the mean of its divisors is an integer number (206109099840).

Almost surely, 2^{13123011112100} is an apocalyptic number.

13123011112100 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 13123011112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839855188480).

13123011112100 is an abundant number, since it is smaller than the sum of its proper divisors (16556699264860).

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

13123011112100 is a wasteful number, since it uses less digits than its factorization.

13123011112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30510 (or 30503 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 13123011112100 its reverse (121111032131), we get a palindrome (13244122144231).

The spelling of 13123011112100 in words is "thirteen trillion, one hundred twenty-three billion, eleven million, one hundred twelve thousand, one hundred".