10233131213100 has 72 divisors (see below), whose sum is σ = 29628266044608. Its totient is φ = 2726954216000.

The previous prime is 10233131213089. The next prime is 10233131213111. The reversal of 10233131213100 is 131213133201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10233131213089) and next prime (10233131213111).

It is a super-2 number, since 2×10233131213100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11318814 + ... + 12189413.

It is an arithmetic number, because the mean of its divisors is an integer number (411503695064).

Almost surely, 2^{10233131213100} is an apocalyptic number.

10233131213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233131213100 is an abundant number, since it is smaller than the sum of its proper divisors (19395134831508).

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

10233131213100 is a wasteful number, since it uses less digits than its factorization.

10233131213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23509695 (or 23509688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10233131213100 its reverse (131213133201), we get a palindrome (10364344346301).

The spelling of 10233131213100 in words is "ten trillion, two hundred thirty-three billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred".