1311435401355 has 48 divisors (see below), whose sum is σ = 2297202398400. Its totient is φ = 692071776000.

The previous prime is 1311435401323. The next prime is 1311435401387. The reversal of 1311435401355 is 5531045341131.

1311435401355 is a `hidden beast` number, since 1 + 3 + 11 + 43 + 540 + 13 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (1311435401323) and next prime (1311435401387).

It is not a de Polignac number, because 1311435401355 - 2⁵ = 1311435401323 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1216305 + ... + 2025405.

It is an arithmetic number, because the mean of its divisors is an integer number (47858383300).

Almost surely, 2^{1311435401355} is an apocalyptic number.

1311435401355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1311435401355 is a deficient number, since it is larger than the sum of its proper divisors (985766997045).

1311435401355 is a wasteful number, since it uses less digits than its factorization.

1311435401355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809492 (or 809489 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 1311435401355 in words is "one trillion, three hundred eleven billion, four hundred thirty-five million, four hundred one thousand, three hundred fifty-five".