1311111202000 has 160 divisors (see below), whose sum is σ = 3276353362464. Its totient is φ = 507121664000.

The previous prime is 1311111201979. The next prime is 1311111202007. The reversal of 1311111202000 is 2021111131.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1175177411136 + 135933790864 = 1084056^2 + 368692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311111202007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9195252 + ... + 9336748.

Almost surely, 2^{1311111202000} is an apocalyptic number.

1311111202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311111202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638176681232).

1311111202000 is an abundant number, since it is smaller than the sum of its proper divisors (1965242160464).

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

1311111202000 is a wasteful number, since it uses less digits than its factorization.

1311111202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141674 (or 141658 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1311111202000 its reverse (2021111131), we get a palindrome (1313132313131).

The spelling of 1311111202000 in words is "one trillion, three hundred eleven billion, one hundred eleven million, two hundred two thousand".