1345133100 has 72 divisors (see below), whose sum is σ = 4026148560. Its totient is φ = 346330880.

The previous prime is 1345133093. The next prime is 1345133107. The reversal of 1345133100 is 13315431.

It is an interprime number because it is at equal distance from previous prime (1345133093) and next prime (1345133107).

It is a super-2 number, since 2×1345133100² = 3618766113431220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1345133107) 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, 68607 + ... + 86006.

It is an arithmetic number, because the mean of its divisors is an integer number (55918730).

Almost surely, 2^1345133100 is an apocalyptic number.

1345133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345133100 is an abundant number, since it is smaller than the sum of its proper divisors (2681015460).

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

1345133100 is a wasteful number, since it uses less digits than its factorization.

1345133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154659 (or 154652 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1345133100 is about 36676.0562220095. The cubic root of 1345133100 is about 1103.8797160750.

Adding to 1345133100 its reverse (13315431), we get a palindrome (1358448531).

The spelling of 1345133100 in words is "one billion, three hundred forty-five million, one hundred thirty-three thousand, one hundred".