103130213200 has 120 divisors (see below), whose sum is σ = 284804235648. Its totient is φ = 35154378240.

The previous prime is 103130213141. The next prime is 103130213209. The reversal of 103130213200 is 2312031301.

It is a super-4 number, since 4×103130213200⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103130213209) 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, 377949 + ... + 590851.

Almost surely, 2^103130213200 is an apocalyptic number.

103130213200 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 103130213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142402117824).

103130213200 is an abundant number, since it is smaller than the sum of its proper divisors (181674022448).

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

103130213200 is a wasteful number, since it uses less digits than its factorization.

103130213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213101 (or 213090 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103130213200 its reverse (2312031301), we get a palindrome (105442244501).

The spelling of 103130213200 in words is "one hundred three billion, one hundred thirty million, two hundred thirteen thousand, two hundred".