1013202311121 has 64 divisors (see below), whose sum is σ = 2015383050240. Its totient is φ = 485851245120.

The previous prime is 1013202311119. The next prime is 1013202311129. The reversal of 1013202311121 is 1211132023101.

1013202311121 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 231 + 112 + 1 = 666.

It is not a de Polignac number, because 1013202311121 - 2¹ = 1013202311119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013202311094 and 1013202311103.

It is not an unprimeable number, because it can be changed into a prime (1013202311129) 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 63 ways as a sum of consecutive naturals, for example, 18717235 + ... + 18771288.

It is an arithmetic number, because the mean of its divisors is an integer number (31490360160).

Almost surely, 2^{1013202311121} is an apocalyptic number.

1013202311121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013202311121 is a deficient number, since it is larger than the sum of its proper divisors (1002180739119).

1013202311121 is a wasteful number, since it uses less digits than its factorization.

1013202311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37488563 (or 37488557 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1013202311121 its reverse (1211132023101), we get a palindrome (2224334334222).

The spelling of 1013202311121 in words is "one trillion, thirteen billion, two hundred two million, three hundred eleven thousand, one hundred twenty-one".