1201253131 has 48 divisors (see below), whose sum is σ = 1474744320. Its totient is φ = 969693120.

The previous prime is 1201253111. The next prime is 1201253149. The reversal of 1201253131 is 1313521021.

It is not a de Polignac number, because 1201253131 - 2¹¹ = 1201251083 is a prime.

It is a super-2 number, since 2×1201253131² = 2886018169474606322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1201253099 and 1201253108.

It is not an unprimeable number, because it can be changed into a prime (1201253111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3345930 + ... + 3346288.

It is an arithmetic number, because the mean of its divisors is an integer number (30723840).

Almost surely, 2^1201253131 is an apocalyptic number.

1201253131 is a deficient number, since it is larger than the sum of its proper divisors (273491189).

1201253131 is a wasteful number, since it uses less digits than its factorization.

1201253131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1201253131 is about 34659.0988197905. The cubic root of 1201253131 is about 1063.0283433847.

Adding to 1201253131 its reverse (1313521021), we get a palindrome (2514774152).

It can be divided in two parts, 120125 and 3131, that added together give a triangular number (123256 = T₄₉₆).

The spelling of 1201253131 in words is "one billion, two hundred one million, two hundred fifty-three thousand, one hundred thirty-one".