1311535445430 has 128 divisors (see below), whose sum is σ = 3611058941952. Its totient is φ = 298638747648.

The previous prime is 1311535445401. The next prime is 1311535445531. The reversal of 1311535445430 is 345445351131.

It is a super-3 number, since 3×1311535445430³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118289347 + ... + 118300433.

It is an arithmetic number, because the mean of its divisors is an integer number (28211397984).

Almost surely, 2^{1311535445430} is an apocalyptic number.

1311535445430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311535445430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805529470976).

1311535445430 is an abundant number, since it is smaller than the sum of its proper divisors (2299523496522).

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

1311535445430 is a wasteful number, since it uses less digits than its factorization.

1311535445430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13198.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 1311535445430 in words is "one trillion, three hundred eleven billion, five hundred thirty-five million, four hundred forty-five thousand, four hundred thirty".