103213121123504 has 160 divisors (see below), whose sum is σ = 242490979584000. Its totient is φ = 41572501724160.

The previous prime is 103213121123473. The next prime is 103213121123531. The reversal of 103213121123504 is 405321121312301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252502169 + ... + 252910599.

It is an arithmetic number, because the mean of its divisors is an integer number (1515568622400).

Almost surely, 2^{103213121123504} is an apocalyptic number.

103213121123504 is a gapful number since it is divisible by the number (14) 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 103213121123504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121245489792000).

103213121123504 is an abundant number, since it is smaller than the sum of its proper divisors (139277858460496).

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

103213121123504 is a wasteful number, since it uses less digits than its factorization.

103213121123504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409411 (or 409405 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 103213121123504 its reverse (405321121312301), we get a palindrome (508534242435805).

The spelling of 103213121123504 in words is "one hundred three trillion, two hundred thirteen billion, one hundred twenty-one million, one hundred twenty-three thousand, five hundred four".