1103313132000 has 144 divisors (see below), whose sum is σ = 3915658433232. Its totient is φ = 294216825600.

The previous prime is 1103313131989. The next prime is 1103313132001. The reversal of 1103313132000 is 2313133011.

It is a happy number.

1103313132000 is a `hidden beast` number, since 1 + 1 + 0 + 331 + 313 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103313132001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15287794 + ... + 15359793.

It is an arithmetic number, because the mean of its divisors is an integer number (27192072453).

Almost surely, 2^{1103313132000} is an apocalyptic number.

1103313132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1103313132000 is an abundant number, since it is smaller than the sum of its proper divisors (2812345301232).

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

1103313132000 is a wasteful number, since it uses less digits than its factorization.

1103313132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30647618 (or 30647597 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1103313132000 its reverse (2313133011), we get a palindrome (1105626265011).

It can be divided in two parts, 110331 and 3132000, that added together give a triangular number (3242331 = T₂₅₄₆).

The spelling of 1103313132000 in words is "one trillion, one hundred three billion, three hundred thirteen million, one hundred thirty-two thousand".