1303435013972 has 192 divisors, whose sum is σ = 2974939806720. Its totient is φ = 485592662016.

The previous prime is 1303435013971. The next prime is 1303435014053. The reversal of 1303435013972 is 2793105343031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303435013971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411306404 + ... + 411309572.

It is an arithmetic number, because the mean of its divisors is an integer number (15494478160).

Almost surely, 2^{1303435013972} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303435013972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487469903360).

1303435013972 is an abundant number, since it is smaller than the sum of its proper divisors (1671504792748).

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

1303435013972 is a wasteful number, since it uses less digits than its factorization.

1303435013972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 41.

The spelling of 1303435013972 in words is "one trillion, three hundred three billion, four hundred thirty-five million, thirteen thousand, nine hundred seventy-two".