1293131196 has 96 divisors (see below), whose sum is σ = 3874752000. Its totient is φ = 365295744.

The previous prime is 1293131137. The next prime is 1293131219. The reversal of 1293131196 is 6911313921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1293131196.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57675 + ... + 76893.

It is an arithmetic number, because the mean of its divisors is an integer number (40362000).

Almost surely, 2^1293131196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293131196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937376000).

1293131196 is an abundant number, since it is smaller than the sum of its proper divisors (2581620804).

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

1293131196 is a wasteful number, since it uses less digits than its factorization.

1293131196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19328 (or 19320 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 1293131196 is about 35960.1334257814. The cubic root of 1293131196 is about 1089.4672918096.

The spelling of 1293131196 in words is "one billion, two hundred ninety-three million, one hundred thirty-one thousand, one hundred ninety-six".