103010312000 has 224 divisors, whose sum is σ = 259616448000. Its totient is φ = 40481126400.

The previous prime is 103010311949. The next prime is 103010312017. The reversal of 103010312000 is 213010301.

It is a super-2 number, since 2×103010312000² (a number of 23 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 31 ways as a sum of consecutive naturals, for example, 245847791 + ... + 245848209.

It is an arithmetic number, because the mean of its divisors is an integer number (1159002000).

Almost surely, 2^103010312000 is an apocalyptic number.

103010312000 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 103010312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129808224000).

103010312000 is an abundant number, since it is smaller than the sum of its proper divisors (156606136000).

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

103010312000 is an equidigital number, since it uses as much as digits as its factorization.

103010312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 103010312000 its reverse (213010301), we get a palindrome (103223322301).

The spelling of 103010312000 in words is "one hundred three billion, ten million, three hundred twelve thousand".