100303313131 has 8 divisors (see below), whose sum is σ = 115265687264. Its totient is φ = 85499271360.

The previous prime is 100303313119. The next prime is 100303313167. The reversal of 100303313131 is 131313303001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100303313131 - 2²³ = 100294924523 is a prime.

It is a super-2 number, since 2×100303313131² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100303313099 and 100303313108.

It is not an unprimeable number, because it can be changed into a prime (100303313731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39581730 + ... + 39584263.

It is an arithmetic number, because the mean of its divisors is an integer number (14408210908).

Almost surely, 2^100303313131 is an apocalyptic number.

100303313131 is a deficient number, since it is larger than the sum of its proper divisors (14962374133).

100303313131 is an equidigital number, since it uses as much as digits as its factorization.

100303313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79166181.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 100303313131 its reverse (131313303001), we get a palindrome (231616616132).

The spelling of 100303313131 in words is "one hundred billion, three hundred three million, three hundred thirteen thousand, one hundred thirty-one".