1311121100100 has 144 divisors (see below), whose sum is σ = 4366631628800. Its totient is φ = 297528750720.

The previous prime is 1311121100089. The next prime is 1311121100137. The reversal of 1311121100100 is 10011211131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1953940 + ... + 2537739.

Almost surely, 2^{1311121100100} is an apocalyptic number.

1311121100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311121100100 is an abundant number, since it is smaller than the sum of its proper divisors (3055510528700).

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

1311121100100 is a wasteful number, since it uses less digits than its factorization.

1311121100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491842 (or 4491835 counting only the distinct ones).

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

Adding to 1311121100100 its reverse (10011211131), we get a palindrome (1321132311231).

The spelling of 1311121100100 in words is "one trillion, three hundred eleven billion, one hundred twenty-one million, one hundred thousand, one hundred".