1331302012020 has 288 divisors, whose sum is σ = 4398461803008. Its totient is φ = 324576792576.

The previous prime is 1331302012009. The next prime is 1331302012039. The reversal of 1331302012020 is 202102031331.

1331302012020 is a `hidden beast` number, since 1 + 331 + 302 + 0 + 12 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1331302011984 and 1331302012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72791317 + ... + 72809603.

It is an arithmetic number, because the mean of its divisors is an integer number (15272436816).

Almost surely, 2^{1331302012020} is an apocalyptic number.

1331302012020 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 1331302012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199230901504).

1331302012020 is an abundant number, since it is smaller than the sum of its proper divisors (3067159790988).

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

1331302012020 is a wasteful number, since it uses less digits than its factorization.

1331302012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18999 (or 18994 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1331302012020 its reverse (202102031331), we get a palindrome (1533404043351).

The spelling of 1331302012020 in words is "one trillion, three hundred thirty-one billion, three hundred two million, twelve thousand, twenty".