1035681101091 has 72 divisors (see below), whose sum is σ = 1857248149536. Its totient is φ = 544546229760.

The previous prime is 1035681101071. The next prime is 1035681101099. The reversal of 1035681101091 is 1901011865301.

1035681101091 is a `hidden beast` number, since 1 + 0 + 3 + 568 + 1 + 1 + 0 + 1 + 0 + 91 = 666.

It is not a de Polignac number, because 1035681101091 - 2¹⁴ = 1035681084707 is a prime.

It is a super-3 number, since 3×1035681101091³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1035681101099) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3177121 + ... + 3487901.

It is an arithmetic number, because the mean of its divisors is an integer number (25795113188).

Almost surely, 2^{1035681101091} is an apocalyptic number.

1035681101091 is a deficient number, since it is larger than the sum of its proper divisors (821567048445).

1035681101091 is a wasteful number, since it uses less digits than its factorization.

1035681101091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311133 (or 311117 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

Adding to 1035681101091 its reverse (1901011865301), we get a palindrome (2936692966392).

The spelling of 1035681101091 in words is "one trillion, thirty-five billion, six hundred eighty-one million, one hundred one thousand, ninety-one".