121132002113 has 8 divisors (see below), whose sum is σ = 128403675432. Its totient is φ = 113876580096.

The previous prime is 121132002107. The next prime is 121132002133. The reversal of 121132002113 is 311200231121.

It can be written as a sum of positive squares in 4 ways, for example, as 50315873344 + 70816128769 = 224312^2 + 266113^2 .

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 121132002113 - 2⁴ = 121132002097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121132002091 and 121132002100.

It is not an unprimeable number, because it can be changed into a prime (121132002133) 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, 4047470 + ... + 4077287.

It is an arithmetic number, because the mean of its divisors is an integer number (16050459429).

Almost surely, 2^121132002113 is an apocalyptic number.

It is an amenable number.

121132002113 is a deficient number, since it is larger than the sum of its proper divisors (7271673319).

121132002113 is an equidigital number, since it uses as much as digits as its factorization.

121132002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8125651.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 121132002113 its reverse (311200231121), we get a palindrome (432332233234).

The spelling of 121132002113 in words is "one hundred twenty-one billion, one hundred thirty-two million, two thousand, one hundred thirteen".