103211013000 has 256 divisors, whose sum is σ = 329843404800. Its totient is φ = 26857670400.

The previous prime is 103211012951. The next prime is 103211013019. The reversal of 103211013000 is 310112301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59078127 + ... + 59079873.

It is an arithmetic number, because the mean of its divisors is an integer number (1288450800).

Almost surely, 2^103211013000 is an apocalyptic number.

103211013000 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 103211013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164921702400).

103211013000 is an abundant number, since it is smaller than the sum of its proper divisors (226632391800).

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

103211013000 is a wasteful number, since it uses less digits than its factorization.

103211013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103211013000 its reverse (310112301), we get a palindrome (103521125301).

The spelling of 103211013000 in words is "one hundred three billion, two hundred eleven million, thirteen thousand".