132401011313000 has 64 divisors (see below), whose sum is σ = 309820100400720. Its totient is φ = 52960108128000.

The previous prime is 132401011312909. The next prime is 132401011313099. The reversal of 132401011313000 is 313110104231.

It can be written as a sum of positive squares in 8 ways, for example, as 426913264996 + 131974098048004 = 653386^2 + 11487998^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 300512870 + ... + 300953130.

Almost surely, 2^{132401011313000} is an apocalyptic number.

132401011313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132401011313000 is an abundant number, since it is smaller than the sum of its proper divisors (177419089087720).

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

132401011313000 is a wasteful number, since it uses less digits than its factorization.

132401011313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741015 (or 741001 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 132401011313000 its reverse (313110104231), we get a palindrome (132714121417231).

The spelling of 132401011313000 in words is "one hundred thirty-two trillion, four hundred one billion, eleven million, three hundred thirteen thousand".