101121311213 has 4 divisors (see below), whose sum is σ = 108899873628. Its totient is φ = 93342748800.

The previous prime is 101121311189. The next prime is 101121311279. The reversal of 101121311213 is 312113121101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 312113121101 = 863 ⋅361660627.

It can be written as a sum of positive squares in 2 ways, for example, as 15496017289 + 85625293924 = 124483^2 + 292618^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121311213 - 2⁸ = 101121310957 is a prime.

It is a super-3 number, since 3×101121311213³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121311191 and 101121311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121311413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3889281188 + ... + 3889281213.

It is an arithmetic number, because the mean of its divisors is an integer number (27224968407).

Almost surely, 2^101121311213 is an apocalyptic number.

101121311213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101121311213 is a deficient number, since it is larger than the sum of its proper divisors (7778562415).

101121311213 is an equidigital number, since it uses as much as digits as its factorization.

101121311213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778562414.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101121311213 its reverse (312113121101), we get a palindrome (413234432314).

The spelling of 101121311213 in words is "one hundred one billion, one hundred twenty-one million, three hundred eleven thousand, two hundred thirteen".