1021132100013 has 8 divisors (see below), whose sum is σ = 1361643080448. Its totient is φ = 680687926464.

The previous prime is 1021132099997. The next prime is 1021132100077. The reversal of 1021132100013 is 3100012311201.

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 1021132100013 - 2⁴ = 1021132099997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021132099965 and 1021132100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021132100213) 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, 16666045 + ... + 16727202.

It is an arithmetic number, because the mean of its divisors is an integer number (170205385056).

Almost surely, 2^{1021132100013} is an apocalyptic number.

It is an amenable number.

1021132100013 is a deficient number, since it is larger than the sum of its proper divisors (340510980435).

1021132100013 is a wasteful number, since it uses less digits than its factorization.

1021132100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33403443.

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

Adding to 1021132100013 its reverse (3100012311201), we get a palindrome (4121144411214).

The spelling of 1021132100013 in words is "one trillion, twenty-one billion, one hundred thirty-two million, one hundred thousand, thirteen".