1133105414340 has 48 divisors (see below), whose sum is σ = 3172750233408. Its totient is φ = 302156198784.

The previous prime is 1133105414333. The next prime is 1133105414347. The reversal of 1133105414340 is 434145013311.

It is an interprime number because it is at equal distance from previous prime (1133105414333) and next prime (1133105414347).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1133105414298 and 1133105414307.

It is not an unprimeable number, because it can be changed into a prime (1133105414347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4347759 + ... + 4601001.

It is an arithmetic number, because the mean of its divisors is an integer number (66098963196).

Almost surely, 2^{1133105414340} is an apocalyptic number.

1133105414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133105414340 is an abundant number, since it is smaller than the sum of its proper divisors (2039644819068).

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

1133105414340 is a wasteful number, since it uses less digits than its factorization.

1133105414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327828 (or 327826 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 1133105414340 in words is "one trillion, one hundred thirty-three billion, one hundred five million, four hundred fourteen thousand, three hundred forty".