2132101032113 has 8 divisors (see below), whose sum is σ = 2302011402600. Its totient is φ = 1963033890048.

The previous prime is 2132101032101. The next prime is 2132101032137. The reversal of 2132101032113 is 3112301012312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19912596544 + 2112188435569 = 141112^2 + 1453337^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2132101032113 - 2⁶ = 2132101032049 is a prime.

It is a super-2 number, since 2×2132101032113² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2132001032113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 210801848 + ... + 210811961.

It is an arithmetic number, because the mean of its divisors is an integer number (287751425325).

Almost surely, 2^{2132101032113} is an apocalyptic number.

It is an amenable number.

2132101032113 is a deficient number, since it is larger than the sum of its proper divisors (169910370487).

2132101032113 is a wasteful number, since it uses less digits than its factorization.

2132101032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421614211.

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

Adding to 2132101032113 its reverse (3112301012312), we get a palindrome (5244402044425).

The spelling of 2132101032113 in words is "two trillion, one hundred thirty-two billion, one hundred one million, thirty-two thousand, one hundred thirteen".