1311431020400 has 240 divisors, whose sum is σ = 3372719757120. Its totient is φ = 490010828800.

The previous prime is 1311431020397. The next prime is 1311431020411. The reversal of 1311431020400 is 40201341131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 269229965 + ... + 269234835.

It is an arithmetic number, because the mean of its divisors is an integer number (14052998988).

Almost surely, 2^{1311431020400} is an apocalyptic number.

1311431020400 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 1311431020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686359878560).

1311431020400 is an abundant number, since it is smaller than the sum of its proper divisors (2061288736720).

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

1311431020400 is a wasteful number, since it uses less digits than its factorization.

1311431020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1311431020400 its reverse (40201341131), we get a palindrome (1351632361531).

The spelling of 1311431020400 in words is "one trillion, three hundred eleven billion, four hundred thirty-one million, twenty thousand, four hundred".