403242031013100 has 288 divisors, whose sum is σ = 1172606585000256. Its totient is φ = 106989857587200.

The previous prime is 403242031013093. The next prime is 403242031013113. The reversal of 403242031013100 is 1310130242304.

It is a happy number.

It is a super-2 number, since 2×403242031013100² (a number of 30 digits) contains 22 as substring.

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, 90473866072 + ... + 90473870528.

It is an arithmetic number, because the mean of its divisors is an integer number (4071550642362).

Almost surely, 2^{403242031013100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403242031013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586303292500128).

403242031013100 is an abundant number, since it is smaller than the sum of its proper divisors (769364553987156).

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

403242031013100 is a wasteful number, since it uses less digits than its factorization.

403242031013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6645 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 403242031013100 its reverse (1310130242304), we get a palindrome (404552161255404).

The spelling of 403242031013100 in words is "four hundred three trillion, two hundred forty-two billion, thirty-one million, thirteen thousand, one hundred".