1011131101201 has 64 divisors (see below), whose sum is σ = 1170679910400. Its totient is φ = 865609113600.

The previous prime is 1011131101199. The next prime is 1011131101223. The reversal of 1011131101201 is 1021011311101.

It is not a de Polignac number, because 1011131101201 - 2¹ = 1011131101199 is a prime.

It is a super-2 number, since 2×1011131101201² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1011131101231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1179849165 + ... + 1179850021.

It is an arithmetic number, because the mean of its divisors is an integer number (18291873600).

Almost surely, 2^{1011131101201} is an apocalyptic number.

It is an amenable number.

1011131101201 is a deficient number, since it is larger than the sum of its proper divisors (159548809199).

1011131101201 is a wasteful number, since it uses less digits than its factorization.

1011131101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1011131101201 its reverse (1021011311101), we get a palindrome (2032142412302).

The spelling of 1011131101201 in words is "one trillion, eleven billion, one hundred thirty-one million, one hundred one thousand, two hundred one".