1011313132101 has 48 divisors (see below), whose sum is σ = 1514670243840. Its totient is φ = 649799529120.

The previous prime is 1011313132099. The next prime is 1011313132127. The reversal of 1011313132101 is 1012313131101.

1011313132101 is a `hidden beast` number, since 10 + 1 + 131 + 313 + 210 + 1 = 666.

It is not a de Polignac number, because 1011313132101 - 2¹ = 1011313132099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011313136101) 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 47 ways as a sum of consecutive naturals, for example, 25898970 + ... + 25937988.

It is an arithmetic number, because the mean of its divisors is an integer number (31555630080).

Almost surely, 2^{1011313132101} is an apocalyptic number.

It is an amenable number.

1011313132101 is a deficient number, since it is larger than the sum of its proper divisors (503357111739).

1011313132101 is a wasteful number, since it uses less digits than its factorization.

1011313132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40006 (or 40003 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1011313132101 its reverse (1012313131101), we get a palindrome (2023626263202).

The spelling of 1011313132101 in words is "one trillion, eleven billion, three hundred thirteen million, one hundred thirty-two thousand, one hundred one".