121315366101345 has 128 divisors (see below), whose sum is σ = 216192655687680. Its totient is φ = 57687108111360.

The previous prime is 121315366101341. The next prime is 121315366101431. The reversal of 121315366101345 is 543101663513121.

It is not a de Polignac number, because 121315366101345 - 2² = 121315366101341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121315366101297 and 121315366101306.

It is not an unprimeable number, because it can be changed into a prime (121315366101341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15090848836 + ... + 15090856874.

It is an arithmetic number, because the mean of its divisors is an integer number (1689005122560).

Almost surely, 2^{121315366101345} is an apocalyptic number.

121315366101345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121315366101345 is a deficient number, since it is larger than the sum of its proper divisors (94877289586335).

121315366101345 is a wasteful number, since it uses less digits than its factorization.

121315366101345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12567.

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 121315366101345 in words is "one hundred twenty-one trillion, three hundred fifteen billion, three hundred sixty-six million, one hundred one thousand, three hundred forty-five".