10131033120 has 384 divisors, whose sum is σ = 35960537088. Its totient is φ = 2380492800.

The previous prime is 10131033119. The next prime is 10131033131. The reversal of 10131033120 is 2133013101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10131033120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16055205 + ... + 16055835.

It is an arithmetic number, because the mean of its divisors is an integer number (93647232).

Almost surely, 2^10131033120 is an apocalyptic number.

10131033120 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 10131033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980268544).

10131033120 is an abundant number, since it is smaller than the sum of its proper divisors (25829503968).

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

10131033120 is a wasteful number, since it uses less digits than its factorization.

10131033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10131033120 its reverse (2133013101), we get a palindrome (12264046221).

The spelling of 10131033120 in words is "ten billion, one hundred thirty-one million, thirty-three thousand, one hundred twenty".