10131013200 has 480 divisors, whose sum is σ = 40979377152. Its totient is φ = 2078208000.

The previous prime is 10131013177. The next prime is 10131013223. The reversal of 10131013200 is 231013101.

It is an interprime number because it is at equal distance from previous prime (10131013177) and next prime (10131013223).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 7668540 + ... + 7669860.

Almost surely, 2^10131013200 is an apocalyptic number.

10131013200 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 10131013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489688576).

10131013200 is an abundant number, since it is smaller than the sum of its proper divisors (30848363952).

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

10131013200 is a wasteful number, since it uses less digits than its factorization.

10131013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10131013200 its reverse (231013101), we get a palindrome (10362026301).

Subtracting from 10131013200 its reverse (231013101), we obtain a palindrome (9900000099).

The spelling of 10131013200 in words is "ten billion, one hundred thirty-one million, thirteen thousand, two hundred".