103313522400 has 144 divisors (see below), whose sum is σ = 366857019648. Its totient is φ = 25045696000.

The previous prime is 103313522393. The next prime is 103313522407. The reversal of 103313522400 is 4225313301.

It is an interprime number because it is at equal distance from previous prime (103313522393) and next prime (103313522407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313522407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1930296 + ... + 1983095.

It is an arithmetic number, because the mean of its divisors is an integer number (2547618192).

Almost surely, 2^103313522400 is an apocalyptic number.

103313522400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313522400 is an abundant number, since it is smaller than the sum of its proper divisors (263543497248).

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

103313522400 is a wasteful number, since it uses less digits than its factorization.

103313522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913425 (or 3913412 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 103313522400 its reverse (4225313301), we get a palindrome (107538835701).

The spelling of 103313522400 in words is "one hundred three billion, three hundred thirteen million, five hundred twenty-two thousand, four hundred".