1301513153472 has 1008 divisors, whose sum is σ = 4674693703680. Its totient is φ = 344184422400.

The previous prime is 1301513153449. The next prime is 1301513153483. The reversal of 1301513153472 is 2743513151031.

1301513153472 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 5 + 131 + 53 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6814204897 + ... + 6814205087.

It is an arithmetic number, because the mean of its divisors is an integer number (4637592960).

Almost surely, 2^{1301513153472} is an apocalyptic number.

1301513153472 is a gapful number since it is divisible by the number (12) 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 1301513153472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337346851840).

1301513153472 is an abundant number, since it is smaller than the sum of its proper divisors (3373180550208).

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

1301513153472 is a wasteful number, since it uses less digits than its factorization.

1301513153472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 1301513153472 in words is "one trillion, three hundred one billion, five hundred thirteen million, one hundred fifty-three thousand, four hundred seventy-two".