103031323030200 has 384 divisors, whose sum is σ = 339710578560000. Its totient is φ = 25742274969600.

The previous prime is 103031323030187. The next prime is 103031323030241. The reversal of 103031323030200 is 2030323130301.

It is a super-2 number, since 2×103031323030200² (a number of 29 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 95 ways as a sum of consecutive naturals, for example, 11333327655 + ... + 11333336745.

It is an arithmetic number, because the mean of its divisors is an integer number (884662965000).

Almost surely, 2^{103031323030200} is an apocalyptic number.

103031323030200 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 103031323030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169855289280000).

103031323030200 is an abundant number, since it is smaller than the sum of its proper divisors (236679255529800).

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

103031323030200 is a wasteful number, since it uses less digits than its factorization.

103031323030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14015 (or 14006 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 103031323030200 its reverse (2030323130301), we get a palindrome (105061646160501).

The spelling of 103031323030200 in words is "one hundred three trillion, thirty-one billion, three hundred twenty-three million, thirty thousand, two hundred".