1332100133001 has 256 divisors, whose sum is σ = 2414168064000. Its totient is φ = 716049100800.

The previous prime is 1332100132999. The next prime is 1332100133053. The reversal of 1332100133001 is 1003310012331.

It is a happy number.

1332100133001 is a `hidden beast` number, since 1 + 332 + 1 + 0 + 0 + 1 + 330 + 0 + 1 = 666.

It is not a de Polignac number, because 1332100133001 - 2¹ = 1332100132999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1332100133501) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2889587911 + ... + 2889588371.

It is an arithmetic number, because the mean of its divisors is an integer number (9430344000).

Almost surely, 2^{1332100133001} is an apocalyptic number.

1332100133001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1332100133001 is a deficient number, since it is larger than the sum of its proper divisors (1082067930999).

1332100133001 is a wasteful number, since it uses less digits than its factorization.

1332100133001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 831 counting only the distinct ones).

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

Adding to 1332100133001 its reverse (1003310012331), we get a palindrome (2335410145332).

The spelling of 1332100133001 in words is "one trillion, three hundred thirty-two billion, one hundred million, one hundred thirty-three thousand, one".