13150221435120 has 640 divisors, whose sum is σ = 53836714229760. Its totient is φ = 2570713251840.

The previous prime is 13150221435119. The next prime is 13150221435121. The reversal of 13150221435120 is 2153412205131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13150221435119) and next prime (13150221435121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13150221435121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 911999271 + ... + 912013689.

It is an arithmetic number, because the mean of its divisors is an integer number (84119865984).

Almost surely, 2^{13150221435120} is an apocalyptic number.

13150221435120 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 13150221435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26918357114880).

13150221435120 is an abundant number, since it is smaller than the sum of its proper divisors (40686492794640).

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

13150221435120 is a wasteful number, since it uses less digits than its factorization.

13150221435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17373 (or 17367 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 13150221435120 in words is "thirteen trillion, one hundred fifty billion, two hundred twenty-one million, four hundred thirty-five thousand, one hundred twenty".