103132013000 has 64 divisors (see below), whose sum is σ = 255524770800. Its totient is φ = 38826163200.

The previous prime is 103132012979. The next prime is 103132013063. The reversal of 103132013000 is 310231301.

It can be written as a sum of positive squares in 8 ways, for example, as 343805764 + 102788207236 = 18542^2 + 320606^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3016295 + ... + 3050294.

Almost surely, 2^103132013000 is an apocalyptic number.

103132013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103132013000 is an abundant number, since it is smaller than the sum of its proper divisors (152392757800).

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

103132013000 is a wasteful number, since it uses less digits than its factorization.

103132013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066627 (or 6066613 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 103132013000 its reverse (310231301), we get a palindrome (103442244301).

The spelling of 103132013000 in words is "one hundred three billion, one hundred thirty-two million, thirteen thousand".