10013221312000 has 640 divisors, whose sum is σ = 26928751449600. Its totient is φ = 3702067200000.

The previous prime is 10013221311991. The next prime is 10013221312013. The reversal of 10013221312000 is 21312231001.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 16176447691 + ... + 16176448309.

It is an arithmetic number, because the mean of its divisors is an integer number (42076174140).

Almost surely, 2^{10013221312000} is an apocalyptic number.

10013221312000 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 10013221312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464375724800).

10013221312000 is an abundant number, since it is smaller than the sum of its proper divisors (16915530137600).

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

10013221312000 is an equidigital number, since it uses as much as digits as its factorization.

10013221312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10013221312000 its reverse (21312231001), we get a palindrome (10034533543001).

The spelling of 10013221312000 in words is "ten trillion, thirteen billion, two hundred twenty-one million, three hundred twelve thousand".