123315442315100 has 432 divisors, whose sum is σ = 323356335120000. Its totient is φ = 40667571141120.

The previous prime is 123315442315057. The next prime is 123315442315187. The reversal of 123315442315100 is 1513244513321.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9680144531 + ... + 9680157269.

It is an arithmetic number, because the mean of its divisors is an integer number (748510035000).

Almost surely, 2^{123315442315100} is an apocalyptic number.

123315442315100 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 123315442315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161678167560000).

123315442315100 is an abundant number, since it is smaller than the sum of its proper divisors (200040892804900).

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

123315442315100 is a wasteful number, since it uses less digits than its factorization.

123315442315100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13410 (or 13396 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 123315442315100 its reverse (1513244513321), we get a palindrome (124828686828421).

The spelling of 123315442315100 in words is "one hundred twenty-three trillion, three hundred fifteen billion, four hundred forty-two million, three hundred fifteen thousand, one hundred".