100002132101013 has 8 divisors (see below), whose sum is σ = 133345913732448. Its totient is φ = 66663219268464.

The previous prime is 100002132100973. The next prime is 100002132101021. The reversal of 100002132101013 is 310101231200001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100002132101013 - 2¹² = 100002132096917 is a prime.

It is a super-3 number, since 3×100002132101013³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100002132100983 and 100002132101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002132101033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1217151795 + ... + 1217233952.

It is an arithmetic number, because the mean of its divisors is an integer number (16668239216556).

Almost surely, 2^{100002132101013} is an apocalyptic number.

It is an amenable number.

100002132101013 is a deficient number, since it is larger than the sum of its proper divisors (33343781631435).

100002132101013 is a wasteful number, since it uses less digits than its factorization.

100002132101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434399443.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100002132101013 its reverse (310101231200001), we get a palindrome (410103363301014).

The spelling of 100002132101013 in words is "one hundred trillion, two billion, one hundred thirty-two million, one hundred one thousand, thirteen".