1311101011098 has 12 divisors (see below), whose sum is σ = 2840718857418. Its totient is φ = 437033670360.

The previous prime is 1311101011067. The next prime is 1311101011117. The reversal of 1311101011098 is 8901101011131.

It can be written as a sum of positive squares in only one way, i.e., 1254048344649 + 57052666449 = 1119843^2 + 238857^2 .

It is a super-2 number, since 2×1311101011098² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36419472513 + ... + 36419472548.

Almost surely, 2^{1311101011098} is an apocalyptic number.

1311101011098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1311101011098 is an abundant number, since it is smaller than the sum of its proper divisors (1529617846320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311101011098 is a wasteful number, since it uses less digits than its factorization.

1311101011098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72838945069 (or 72838945066 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 27.

The spelling of 1311101011098 in words is "one trillion, three hundred eleven billion, one hundred one million, eleven thousand, ninety-eight".