1032211313331 has 48 divisors (see below), whose sum is σ = 1591553199264. Its totient is φ = 593828928000.

The previous prime is 1032211313323. The next prime is 1032211313369. The reversal of 1032211313331 is 1333131122301.

1032211313331 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1032211313331 - 2³ = 1032211313323 is a prime.

It is a super-2 number, since 2×1032211313331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1032211313311) 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, 386560 + ... + 1487901.

It is an arithmetic number, because the mean of its divisors is an integer number (33157358318).

Almost surely, 2^{1032211313331} is an apocalyptic number.

1032211313331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1032211313331 is a deficient number, since it is larger than the sum of its proper divisors (559341885933).

1032211313331 is a wasteful number, since it uses less digits than its factorization.

1032211313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874564 (or 1874553 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1032211313331 its reverse (1333131122301), we get a palindrome (2365342435632).

The spelling of 1032211313331 in words is "one trillion, thirty-two billion, two hundred eleven million, three hundred thirteen thousand, three hundred thirty-one".