103031040000 has 480 divisors, whose sum is σ = 392380148160. Its totient is φ = 23543808000.

The previous prime is 103031039999. The next prime is 103031040017. The reversal of 103031040000 is 40130301.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 26878084 + ... + 26881916.

It is an arithmetic number, because the mean of its divisors is an integer number (817458642).

Almost surely, 2^103031040000 is an apocalyptic number.

103031040000 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 103031040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196190074080).

103031040000 is an abundant number, since it is smaller than the sum of its proper divisors (289349108160).

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

103031040000 is an frugal number, since it uses more digits than its factorization.

103031040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103031040000 its reverse (40130301), we get a palindrome (103071170301).

The spelling of 103031040000 in words is "one hundred three billion, thirty-one million, forty thousand".