1311101011020 has 96 divisors (see below), whose sum is σ = 3770628523200. Its totient is φ = 340148035584.

The previous prime is 1311101011019. The next prime is 1311101011067. The reversal of 1311101011020 is 201101011131.

It is a super-2 number, since 2×1311101011020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1311101010987 and 1311101011005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38808696 + ... + 38842464.

It is an arithmetic number, because the mean of its divisors is an integer number (39277380450).

Almost surely, 2^{1311101011020} is an apocalyptic number.

1311101011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311101011020 is an abundant number, since it is smaller than the sum of its proper divisors (2459527512180).

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

1311101011020 is a wasteful number, since it uses less digits than its factorization.

1311101011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51307 (or 51305 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1311101011020 its reverse (201101011131), we get a palindrome (1512202022151).

The spelling of 1311101011020 in words is "one trillion, three hundred eleven billion, one hundred one million, eleven thousand, twenty".