10213130130000 has 400 divisors, whose sum is σ = 37704778108800. Its totient is φ = 2332848384000.

The previous prime is 10213130129999. The next prime is 10213130130157. The reversal of 10213130130000 is 3103131201.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 325274302 + ... + 325305698.

It is an arithmetic number, because the mean of its divisors is an integer number (94261945272).

Almost surely, 2^{10213130130000} is an apocalyptic number.

10213130130000 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 10213130130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18852389054400).

10213130130000 is an abundant number, since it is smaller than the sum of its proper divisors (27491647978800).

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

10213130130000 is a wasteful number, since it uses less digits than its factorization.

10213130130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32984 (or 32963 counting only the distinct ones).

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

Adding to 10213130130000 its reverse (3103131201), we get a palindrome (10216233261201).

The spelling of 10213130130000 in words is "ten trillion, two hundred thirteen billion, one hundred thirty million, one hundred thirty thousand".