1303113123100 has 72 divisors (see below), whose sum is σ = 2869441531488. Its totient is φ = 513575884800.

The previous prime is 1303113123083. The next prime is 1303113123121. The reversal of 1303113123100 is 13213113031.

It is a super-2 number, since 2×1303113123100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7040745 + ... + 7223455.

It is an arithmetic number, because the mean of its divisors is an integer number (39853354604).

Almost surely, 2^{1303113123100} is an apocalyptic number.

1303113123100 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 1303113123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434720765744).

1303113123100 is an abundant number, since it is smaller than the sum of its proper divisors (1566328408388).

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

1303113123100 is a wasteful number, since it uses less digits than its factorization.

1303113123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183775 (or 183768 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1303113123100 its reverse (13213113031), we get a palindrome (1316326236131).

The spelling of 1303113123100 in words is "one trillion, three hundred three billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred".