10131420000 has 480 divisors, whose sum is σ = 37032145920. Its totient is φ = 2407680000.

The previous prime is 10131419999. The next prime is 10131420001. The reversal of 10131420000 is 2413101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10131419999) and next prime (10131420001).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131420001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24179791 + ... + 24180209.

It is an arithmetic number, because the mean of its divisors is an integer number (77150304).

Almost surely, 2^10131420000 is an apocalyptic number.

10131420000 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 10131420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18516072960).

10131420000 is an abundant number, since it is smaller than the sum of its proper divisors (26900725920).

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

10131420000 is a wasteful number, since it uses less digits than its factorization.

10131420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10131420000 its reverse (2413101), we get a palindrome (10133833101).

The spelling of 10131420000 in words is "ten billion, one hundred thirty-one million, four hundred twenty thousand".