1310884867152 has 400 divisors, whose sum is σ = 4533061294080. Its totient is φ = 357585871104.

The previous prime is 1310884867151. The next prime is 1310884867183. The reversal of 1310884867152 is 2517684880131.

1310884867152 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 8 + 8 + 486 + 7 + 152 = 666.

It is a super-2 number, since 2×1310884867152² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310884867151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117467749 + ... + 117478907.

Almost surely, 2^{1310884867152} is an apocalyptic number.

1310884867152 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 1310884867152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266530647040).

1310884867152 is an abundant number, since it is smaller than the sum of its proper divisors (3222176426928).

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

1310884867152 is a wasteful number, since it uses less digits than its factorization.

1310884867152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11772 (or 11757 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1310884867152 in words is "one trillion, three hundred ten billion, eight hundred eighty-four million, eight hundred sixty-seven thousand, one hundred fifty-two".