1311213540 has 384 divisors, whose sum is σ = 4798080000. Its totient is φ = 267111936.

The previous prime is 1311213539. The next prime is 1311213557. The reversal of 1311213540 is 453121131.

1311213540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1311213540³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45214246 + ... + 45214274.

It is an arithmetic number, because the mean of its divisors is an integer number (12495000).

Almost surely, 2^1311213540 is an apocalyptic number.

1311213540 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 1311213540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399040000).

1311213540 is an abundant number, since it is smaller than the sum of its proper divisors (3486866460).

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

1311213540 is a wasteful number, since it uses less digits than its factorization.

1311213540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1311213540 is about 36210.6826779060. The cubic root of 1311213540 is about 1094.5219489110.

Adding to 1311213540 its reverse (453121131), we get a palindrome (1764334671).

The spelling of 1311213540 in words is "one billion, three hundred eleven million, two hundred thirteen thousand, five hundred forty".