1311125424100 has 36 divisors (see below), whose sum is σ = 2845236986928. Its totient is φ = 524432692000.

The previous prime is 1311125424041. The next prime is 1311125424139. The reversal of 1311125424100 is 14245211131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3038835 + ... + 3443365.

It is an arithmetic number, because the mean of its divisors is an integer number (79034360748).

Almost surely, 2^{1311125424100} is an apocalyptic number.

1311125424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311125424100 is an abundant number, since it is smaller than the sum of its proper divisors (1534111562828).

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

1311125424100 is a wasteful number, since it uses less digits than its factorization.

1311125424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436956 (or 436949 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 1311125424100 in words is "one trillion, three hundred eleven billion, one hundred twenty-five million, four hundred twenty-four thousand, one hundred".